Recent content by Aceuniverse

Oh it's not the definition of rank I am concerned with. I wanted to know if using rank was a good method to answering the question "Show that a linear map T:R4->R4 has one of the following as its image: just the origin 0, a line through 0, a plane through 0, a copy of R3 through 0, or all of R4. "

Homework Statement Show that a linear map T:R4->R4 has one of the following as its image: just the origin 0, a line through 0, a plane through 0, a copy of R3 through 0, or all of R4. Homework Equations N/a The Attempt at a Solution I'm not sure I'm even understanding the...